3132340440 has 128 divisors (see below), whose sum is σ = 10270955520. Its totient is φ = 760780800.

The previous prime is 3132340417. The next prime is 3132340459. The reversal of 3132340440 is 440432313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3132340440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38475 + ... + 88005.

It is an arithmetic number, because the mean of its divisors is an integer number (80241840).

Almost surely, 2^3132340440 is an apocalyptic number.

3132340440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5135477760).

3132340440 is an abundant number, since it is smaller than the sum of its proper divisors (7138615080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3132340440 is a wasteful number, since it uses less digits than its factorization.

3132340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49593 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3132340440 is about 55967.3158191457. The cubic root of 3132340440 is about 1463.1526980721.

Adding to 3132340440 its reverse (440432313), we get a palindrome (3572772753).

The spelling of 3132340440 in words is "three billion, one hundred thirty-two million, three hundred forty thousand, four hundred forty".